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240633576345 = 3583313761613
BaseRepresentation
bin1110000000011011100…
…0001111101110011001
3212000010011112020100110
43200012320033232121
512420304143420340
6302313500354533
723246060436111
oct3400670175631
9760104466313
10240633576345
1193063420558
123a777845a49
13198cb725086
14b90a896041
1563d58ac680
hex3806e0fb99

240633576345 has 32 divisors (see below), whose sum is σ = 389782979712. Its totient is φ = 126749192192.

The previous prime is 240633576317. The next prime is 240633576377. The reversal of 240633576345 is 543675336042.

240633576345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 240633576345 - 216 = 240633510809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240633576294 and 240633576303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3874759 + ... + 3936371.

It is an arithmetic number, because the mean of its divisors is an integer number (12180718116).

Almost surely, 2240633576345 is an apocalyptic number.

It is an amenable number.

240633576345 is a deficient number, since it is larger than the sum of its proper divisors (149149403367).

240633576345 is a wasteful number, since it uses less digits than its factorization.

240633576345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64841.

The product of its (nonzero) digits is 5443200, while the sum is 48.

The spelling of 240633576345 in words is "two hundred forty billion, six hundred thirty-three million, five hundred seventy-six thousand, three hundred forty-five".

Divisors: 1 3 5 15 83 249 415 1245 3137 9411 15685 47055 61613 184839 260371 308065 781113 924195 1301855 3905565 5113879 15341637 25569395 76708185 193279981 579839943 966399905 2899199715 16042238423 48126715269 80211192115 240633576345